MODERN DIMENSIONAL ANALYSIS INVOLVED IN STATIC DISPLACEMENT’S EVALUATION

Abstract

The Modern Dimensional Analysis (MDA) method, introduced by Professor Thomas Szirtes, can be applied in many engineering problems. The authors illustrate the main advantages of this method in a static case: in the displacement’s evaluation of a straight bar, loaded by a concentrate force, perpendicular-disposed to its longitudinal axis. Several variants based on different suppositions of the Dimensional Set were analyzed, mainly how one can toggle the main variables from the whole potentially involved variables, which have some influence on the analyzed phenomena. It is proved, that one can find such Dimensional Sets, in which the corresponding sets of the independent variables can assure dimensional similarity between the prototype and model without geometric similarity. It can represent one of the main advantages of the MDA method.